Decimal Zoom Lens

Explore decimal place value through linked whole and magnified tenth number lines.

Grades 4–5 · Math

Explore one idea

Decimal Zoom Lens

Your goal

Move the lens marker to 0.35. Use tenths for large moves and hundredths for small moves.

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Decimal 0.00 shown on a zero to two line and a magnified tenthWhole view0.00.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.0Zoom into one tenth0.000.010.020.030.040.050.060.070.080.090.100 whole0 tenths0 hundredths

Reduced motion is on. The controls still update the scene.

0.00 has 0 whole, 0 tenths and 0 hundredths. The zoomed interval runs from 0.00 to 0.10. Ten hundredths make one tenth.

Values are stored as whole hundredths, so every step is exact. The lower line magnifies one tenth; it is a different scale from the upper line.

Learn with Decimal Zoom Lens

Decimal Zoom Lens links a broad number line from zero to two with a magnified view of one tenth. Upper elementary students move a marker by tenths or hundredths and see the corresponding digits in separate place value cards. The lower line divides the highlighted tenth into ten equal hundredths, making small distances easier to inspect. Nine goals include values below one, values above one, and movement across whole number boundaries. The live feedback supports discussion of carrying between places and the different scales used by the two linked views.

What to look for

Move by tenths

A tenth moves ten hundredths at once.

Inspect the lens

The bottom line enlarges the highlighted interval, not a new whole.

Watch a carry

Step from 0.99 to 1.00 and describe which digits change.

For teachers and curious learners

Relate hundredths and tenths to the same whole. Ask students to predict what will happen, change one setting, and explain what they observe. Learn gives a starting point. Practice and Challenge offer new goals with the same scene.

Decimals are stored as integer hundredths between zero and two. The magnified interval contains ten hundredths. At 2.00 the lens shows the final tenth ending at two.

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